Least Common Multiple of 6739/507, 1999/9887

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6739/507, 1999/9887 quickly i.e. 13471261 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6739/507, 1999/9887 is 13471261.

LCM(6739/507, 1999/9887) = 13471261

LCM of 6739/507, 1999/9887

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 6739/507,1999/9887

Given numbers are 6739/507,1999/9887

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 6739,1999

Least Common Multiple of Numerators i.e. LCM of 6739,1999 is 13471261.

GCF of Denominators means GCF of 507,9887 as per the given fractions.

GCF of 507,9887 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6739,1999

LCM of Fractions 6739/507,1999/9887 is 13471261

Given numbers has no common factors except 1. So, there LCM is their product i.e 13471261

Least Common Multiple of 6739,1999 with GCF Formula

Least Common Multiple of 6739,1999 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 6739,1999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6739,1999) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(6739,1999) x common factors =1 x 1 = 1

LCM(6739,1999) = ( 6739 × 1999 ) / 1

LCM(6739,1999) = 13471261 / 1

LCM(6739,1999) = 13471261


Lets's calculate GCF of 507,9887

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13471261/1

Therefore the LCM of Fractions 6739/507,1999/9887 is 13471261

Greatest Common Factor of 507,9887 By Matching Biggest Common Factor Method

Greatest Common Factor of 507,9887 By Matching Biggest Common Factor Method

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Factors of 9887

List of positive integer factors of 9887 that divides 9887 without a remainder.

1,9887

Greatest Common Factor

We found the factors 507,9887 . The biggest common factor number is the GCF number.
So the greatest common factor 507,9887 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 6739/507, 1999/9887

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 6739/507, 1999/9887?

Answer: LCM of Numerators as per given numbers 6739/507, 1999/9887 is

LCM of Numerators i.e. for 6739,1999 is 13471261

GCF of denominators i.e. for 507,9887 is 1.

Thus, LCM of Fractions is 13471261.Finally, LCM of Fractions for 6739/507, 1999/9887 is 13471261.